So, when you apply this term to fractions, decomposing fractions simply means that you are dividing a fraction into smaller fractions, such that on adding all the smaller parts together, it results in the initial fraction. Justify decompositions (e.g.Decompose simply means that you are dividing into smaller parts or splitting up. Justify decompositions withĮxplanations, visual fraction models, or equations.įor example: 3/8 = 1/8 + 1/8 + 1/8 3/8 = 1/8 + 2/8 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.īuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.ĭecompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Than one way, recording each decomposition by an equation. Justify decompositions.Į.g., Justify decompositions by using a visual fraction model such as, but not limited to:ĭecompose a fraction into a sum of unit fractions or multiples of that unit fraction in more New York State Next Generation Learning Standards:ĭecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Examples: 3/8 = 1/8 + 1/8 + 1/8 3/8 = 1/8 + 2/8 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.ĭecompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations. Justify decompositions, e.g., by using a visual fraction model (including, but not limited to: concrete models, illustrations, tape diagram, number line, area model, etc.). Represent a fraction as a sum of fractions with the same denominator in more than one way, recording with an equation.ĭecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Same denominator in more than one way, recording eachĭecomposition by an equation. Than one way using area models, length models, and equations.ĭecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify decompositions (e.g., by using a visual fraction model) (e.g., 3/8 = 1/8 + 1/8 + 1/8 3/8 = 1/8 + 2/8 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8)ĭecompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8+1/8 3/8 = 2/8 + 1/8 2 1/8 = 1 + 1 + 1/8 + or 2 1/8 = 8/8 + 8/8 + 1/8).ĭecompose a fraction into a sum of fractions with the Justifyĭecompositions by using a visual fraction model.ĭecompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more North Carolina - Standard Course of Study:ĭecompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8 + 1/8 3/8 = 1/8 + 2/8 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8), recording each decomposition by an equation. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Represent whole numbers and fractions as the sum of unit fractions. Understand addition and subtraction of fractions as joining and Mississippi College- and Career-Readiness Standards: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole Separating parts referring to the same whole. Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or
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